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Finding the Fourth Proportional to 830.50, 1,244.21 and 713.86

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Solution

The fourth proportional to 830.50, 1,244.21 and 713.86 is: 1,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.50 : 1,244.21 = 713.86 : x
  2. Step 2: Convert to fraction form
    830.50/1,244.21 = 713.86/x
  3. Step 3: Cross multiply
    830.50x = 1,244.21 × 713.86
  4. Step 4: Simplify right side
    830.50x = 888,196.08
  5. Step 5: Solve for x
    x = 888,196.08/830.50
  6. Step 6: Final answer
    x = 1,069.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.